During a telematch, each group of students was supposed to collect as many coloured marbles as possible. Each colour represented a certain point as tabulated:
Colours |
Points |
Yellow |
4 |
Black |
6 |
Purple |
8 |
In each container, the number of yellow marbles was 60% more than the number of purple marbles and 30% less than the number of black marbles. Given that the total possible points if the group managed to collect all the marbles were 2952 points, how many marbles were not yellow in colour?
Yellow |
Black |
Purple |
8x7 |
|
5x7 |
7x8 |
10x8 |
|
56 u |
80 u |
35 u |
|
Yellow |
Black |
Purple |
Total |
Number |
56 u |
80 u |
35u |
|
Value |
4 |
6 |
8 |
|
Total value |
224 u |
480 u |
280 u |
984 u |
100% + 60% = 160%
160% =
160100 =
85 100% - 30% = 70%
70% =
70100 =
710 Total number of points collected
= 224 u + 480 u + 280 u
= 984 u
984 u = 2952
1 u = 2952 ÷ 984 = 3
Number of marbles not yellow in colour
= 80 u + 35 u
= 115 u
= 115 x 3
= 345
Answer: 345